-7m+42-3(m-1)=6m-(4m-7)-3m+2

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Solution for -7m+42-3(m-1)=6m-(4m-7)-3m+2 equation:


Simplifying
-7m + 42 + -3(m + -1) = 6m + -1(4m + -7) + -3m + 2

Reorder the terms:
-7m + 42 + -3(-1 + m) = 6m + -1(4m + -7) + -3m + 2
-7m + 42 + (-1 * -3 + m * -3) = 6m + -1(4m + -7) + -3m + 2
-7m + 42 + (3 + -3m) = 6m + -1(4m + -7) + -3m + 2

Reorder the terms:
42 + 3 + -7m + -3m = 6m + -1(4m + -7) + -3m + 2

Combine like terms: 42 + 3 = 45
45 + -7m + -3m = 6m + -1(4m + -7) + -3m + 2

Combine like terms: -7m + -3m = -10m
45 + -10m = 6m + -1(4m + -7) + -3m + 2

Reorder the terms:
45 + -10m = 6m + -1(-7 + 4m) + -3m + 2
45 + -10m = 6m + (-7 * -1 + 4m * -1) + -3m + 2
45 + -10m = 6m + (7 + -4m) + -3m + 2

Reorder the terms:
45 + -10m = 7 + 2 + 6m + -4m + -3m

Combine like terms: 7 + 2 = 9
45 + -10m = 9 + 6m + -4m + -3m

Combine like terms: 6m + -4m = 2m
45 + -10m = 9 + 2m + -3m

Combine like terms: 2m + -3m = -1m
45 + -10m = 9 + -1m

Solving
45 + -10m = 9 + -1m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add 'm' to each side of the equation.
45 + -10m + m = 9 + -1m + m

Combine like terms: -10m + m = -9m
45 + -9m = 9 + -1m + m

Combine like terms: -1m + m = 0
45 + -9m = 9 + 0
45 + -9m = 9

Add '-45' to each side of the equation.
45 + -45 + -9m = 9 + -45

Combine like terms: 45 + -45 = 0
0 + -9m = 9 + -45
-9m = 9 + -45

Combine like terms: 9 + -45 = -36
-9m = -36

Divide each side by '-9'.
m = 4

Simplifying
m = 4

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